a. The slope of the line parallel to y = 3/4x - 1 is: 3/4.
b. The slope of the line perpendicular to y = 3/4x - 1 is: -4/3.
What is the Slope of Lines that are Perpendicular and Lines that are Parallel?
If two lines are parallel to each other, they will have the same slope value. On the other hand, if the two lines are perpendicular to each other, they will have slopes that are negative reciprocals of each other.
Thus, given the equation, y = 3/4x - 1, the slope of this line is 3/4.
The negative reciprocal of 3/4 is -4/3.
Therefore, we can conclude that:
a. The slope of the line parallel to y = 3/4x - 1 is: 3/4.
b. The slope of the line perpendicular to y = 3/4x - 1 is: -4/3.
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